त्रिवि IT प्रवेश BIT र BCA प्रवेश तयारी
त्रिवि IT प्रवेश – BIT र BCA प्रवेश
TU BIT & BCA Entrance · TU IT Entrance (B.Sc. CSIT, BIT, BCA)
२,६०७ प्रश्न उपलब्ध। मोड छान्नुहोस्:
IT प्रवेश: प्रश्न र उत्तर
सही लागेको विकल्पमा थिच्नुहोस्। सही भए हरियो, गलत भए रातो देखिन्छ; ३ सेकेन्डपछि सही उत्तर र व्याख्या देखिन्छ।
सही: ० / ०
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A current of 3 Amperes flows through a heating element for 10 minutes. The resistance of the heating element is 20 Ohms. What is the heat produced in Joules?
सही उत्तर: क) a) 900 J
The power dissipated (P) can be calculated using P = I²R, where I is current (3A) and R is resistance (20Ω). Thus, P = 3² * 20 = 180 W. The heat produced (Q) is the power multiplied by time: Q = P * t = 180 * 10 * 60 = 108000 J or 108 kJ. Option (a) and (d) are incorrect as they have wrong values of current and/or resistance. Option (b) gives a value closer to the correct one, but it's not precise enough.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The half-life of a radioactive substance is 10 hours. What percentage of the original substance will remain after 30 hours?
सही उत्तर: क) a) 60%
The half-life represents the time it takes for half of a substance to decay. After 10 hours, 50% remains. After another 10 hours (total 20 hours), 25% remains. After an additional 10 hours (total 30 hours), 12.5% remains. Option (a) is incorrect because it doesn't consider the multiple half-life periods. Option (d) incorrectly assumes a constant decay rate.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A planet orbits around the Sun. According to Kepler’s Third Law, if the semi-major axis (r) increases four times, the time period (T) will increase by:
सही उत्तर: क) a) Four times
Kepler's Third Law states that T² ∝ r³. If r becomes 4r, then T² becomes 16r³, which means T increases by the square root of 16 i.e., 4. Option (b) is incorrect as it suggests a linear relationship. Option (a) and (d) are clearly incorrect.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Let n be the number of divisors of 72. Then n is:
सही उत्तर: ग) 9
First, find the prime factorization of 72: 72 = 2³ * 3² . The number of divisors is (3+1)(2+1) = 4*3 = 12. This makes 12 one of the options, but the question asks for ‘n’ which means we need to find the actual number of divisors which is indeed 12. The most tempting mistake is confusing factors with divisors.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A function f(x) = ax² + bx + c has f(-1) = 2, f(0) = 1, and f(1) = 0. Find the value of a.
सही उत्तर: घ) 2
We are given three points on the parabola: (-1, 2), (0, 1), and (1, 0). Substituting these into the equation f(x) = ax² + bx + c, we get a system of equations. Solving for 'a': f(-1) = a - b + c = 2; f(0) = c = 1; f(1) = a + b + c = 0. Since c=1, then a+b+1 = 0 so a+b = -1. Also, a-b+1 = 2 so a-b = 1. Adding the equations, we get 2a = 0 which implies a=0. This contradicts that f(x) is quadratic. We made an error in using the point (1,0). However, since it's a multiple choice question and we are looking for 'a', if we proceed with solving for a, then from (1,-1) we obtain 0 + b = -1 so b=-1. Then f(x) = ax²-x+1 which gives f(-1)=a-(-1)+1=2, so a+2=2 and thus a=0 is wrong but since 0 is one of choices.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The area of a triangle with vertices at points A(1, 2), B(4, 8), and C(6, 3) is:
सही उत्तर: क) 7
We can use the determinant formula for calculating the area of a triangle given its coordinates. The area is (1/2)|(x_A(y_B - y_C) + x_B(y_C - y_A) + x_C(y_A - y_B))|. Plugging in the coordinates: (1/2)|(1(8-3) + 4(3-2) + 6(2-8))| = (1/2)|5 + 4 - 42| = (1/2)|-33| = 16.5 which is not an option, the closest answer is 9 or 10 depending on rounding. This indicates a potential error in question formulation or the provided options as no single answer correctly represents the solution.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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If cos(A) = 3/5 and sin(B) = -4/5, with A and B being acute angles, find the value of sin(A+B).
सही उत्तर: ख) 24/25
Since A and B are acute angles, we can use the Pythagorean theorem to find cos(A) and sin(B). Then we can use the sine addition formula: sin(A+B) = sin(A)cos(B) + cos(A)sin(B). The most tempting option (4/5) is incorrect as it doesn't properly account for both cosine and sine values.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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A company is designing a new database schema for an e-commerce website. Which SQL command would they primarily use to add a new column named ‘customer_type’ with a data type of ‘VARCHAR(50)’ to the existing ‘customers’ table? (a) DELETE (b) INSERT (c) ALTER TABLE (d) CREATE DATABASE
सही उत्तर: ग) (c) ALTER TABLE
The `ALTER TABLE` command is used to modify the structure of an existing database table. To add a new column to a table, one uses `ALTER TABLE table_name ADD COLUMN column_name data_type;`.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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Which of the following is a fundamental principle behind the concept of ‘virtual memory’? (a) Increasing the physical RAM to handle larger programs. (b) Utilizing secondary storage (like a hard drive) as an extension of RAM to allow running programs larger than available RAM. (c) Completely eliminating the need for physical RAM. (d) Directly mapping all program instructions into physical memory.
सही उत्तर: ख) (b) Utilizing secondary storage (like a hard drive) as an extension of RAM to allow running programs larger than available RAM.
Virtual memory utilizes disk space to simulate having more RAM than physically present. The operating system manages this swapping between RAM and secondary storage, allowing larger programs to run.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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The following code snippet is written in C: ```c int result = 5 * (10 % 3); printf("%d", result); ``` What will be the output of this program? (a) 25 (b) 30 (c) 40 (d) Error
सही उत्तर: ख) (b) 30
The expression `10 % 3` evaluates to 1 (the remainder when 10 is divided by 3). Then, `5 * 1` becomes `5 * 1 = 5`. So the result is 25.
💬 टिप्पणी / गल्ती रिपोर्ट (०)
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